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Finding the Fourth Proportional to 506,271.42, 759,032.19 and 306,544.86

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Solution

The fourth proportional to 506,271.42, 759,032.19 and 306,544.86 is: 459,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,271.42 : 759,032.19 = 306,544.86 : x
  2. Step 2: Convert to fraction form
    506,271.42/759,032.19 = 306,544.86/x
  3. Step 3: Cross multiply
    506,271.42x = 759,032.19 × 306,544.86
  4. Step 4: Simplify right side
    506,271.42x = 232,677,416,419.04
  5. Step 5: Solve for x
    x = 232,677,416,419.04/506,271.42
  6. Step 6: Final answer
    x = 459,590.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.